6. Two independent forces F₁~N(12,0.5²) kg and F₂~N(18,0.5²) kg act at points B and C of cable ABCD. (1) Determine the tension in the cable CD. (2) If the maximum load of the cable is 210 N, what is the probability the cable CD might fail?

Solution

(1) From FBD, we have:

Then, we can obtain the distribution of T_CD:

Thus, the distribution of cable CD is:

. Ans.

(2) If the maximum load of the cable CD is 210N, then the probability that the system might fail is:

Ans.